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Relevant bibliographies by topics / RADIATIVE TRANSPORT THEORY

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Academic literature on the topic 'RADIATIVE TRANSPORT THEORY'

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Published: 10 March 2023

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Journal articles on the topic "RADIATIVE TRANSPORT THEORY"

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Pomraning, G. C. "Multimode flux-limited diffusion theory." Laser and Particle Beams 10, no. 2 (June 1992): 239–51. http://dx.doi.org/10.1017/s0263034600004389.

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We present a diffusion approximation describing the flow of thermal radiation that preserves several important features of the underlying equation of radiative transfer. Specifically, this diffusion description: (1) is flux limited; (2) reduces to the correct transport weak gradient limit; (3) allows correct and simultaneous exponential growth and Decay for a certain class of problems; (4) gives correct transport results for certain contiguous half-space problems; and (5) allows the radiative flux and the gradient of the radiation energy density to point in independent directions. This treatment extends and generalizes earlier flux-limited diffusion approximations that are widely used in radiation–hydrodynamics calculations.

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Berberan‐Santos, M. N., E. J. Nunes Pereira, and J. M. G. Martinho. "Stochastic theory of molecular radiative transport." Journal of Chemical Physics 103, no. 8 (August 22, 1995): 3022–28. http://dx.doi.org/10.1063/1.470491.

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Kim, Arnold D., and Miguel Moscoso. "Radiative transport theory for optical molecular imaging." Inverse Problems 22, no. 1 (December 9, 2005): 23–42. http://dx.doi.org/10.1088/0266-5611/22/1/002.

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Sandoval, Christopher, and Arnold D. Kim. "Deriving Kubelka–Munk theory from radiative transport." Journal of the Optical Society of America A 31, no. 3 (February 21, 2014): 628. http://dx.doi.org/10.1364/josaa.31.000628.

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Zahn, J. P. "Theory of Transport Processes." International Astronomical Union Colloquium 121 (1990): 425–36. http://dx.doi.org/10.1017/s0252921100068111.

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AbstractThis review focuses on the transport of matter and angular momentum in the radiative zones of stellar interiors. The two main causes of such transport are the convective overshooting in the vicinity of convection zones, and the slow motions (meridional circulation and turbulence) due to the rotation of the star. In addition, momentum can be transfered through waves (generated by the motions above) and through magnetic stresses. The characteristics of those processes are examined, with special emphasis on turbulent diffusion.

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Berberan-Santos, Mário N., Eduardo J. Nunes Pereira, and José M. G. Martinho. "Stochastic theory of combined radiative and nonradiative transport." Journal of Chemical Physics 107, no. 24 (December 22, 1997): 10480–84. http://dx.doi.org/10.1063/1.474211.

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Song, Bai, Anthony Fiorino, Edgar Meyhofer, and Pramod Reddy. "Near-field radiative thermal transport: From theory to experiment." AIP Advances 5, no. 5 (May 2015): 053503. http://dx.doi.org/10.1063/1.4919048.

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Kim, Arnold D., and John C. Schotland. "Self-consistent scattering theory for the radiative transport equation." Journal of the Optical Society of America A 23, no. 3 (March 1, 2006): 596. http://dx.doi.org/10.1364/josaa.23.000596.

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Şahin, Derya, and Boaz Ilan. "Radiative transport theory for light propagation in luminescent media." Journal of the Optical Society of America A 30, no. 5 (April 8, 2013): 813. http://dx.doi.org/10.1364/josaa.30.000813.

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Cox, Tyler, Kyle C. Armour, Gerard H. Roe, Aaron Donohoe, and Dargan M. W. Frierson. "Radiative and Dynamic Controls on Atmospheric Heat Transport over Different Planetary Rotation Rates." Journal of Climate 34, no. 9 (May 2021): 3543–54. http://dx.doi.org/10.1175/jcli-d-20-0533.1.

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AbstractAtmospheric heat transport is an important piece of our climate system, yet we lack a complete theory for its magnitude or changes. Atmospheric dynamics and radiation play different roles in controlling the total atmospheric heat transport (AHT) and its partitioning into components associated with eddies and mean meridional circulations. This work focuses on two specific controls: a radiative one, namely atmospheric radiative temperature tendencies, and a dynamic one, the planetary rotation rate. We use an idealized gray radiation model to employ a novel framework to lock the radiative temperature tendency and total AHT to climatological values, even while the rotation rate is varied. This setup allows for a systematic study of the effects of radiative tendency and rotation rate on AHT. We find that rotation rate controls the latitudinal extent of the Hadley cell and the heat transport efficiency of eddies. Both the rotation rate and radiative tendency influence the strength of the Hadley cell and the strength of equator–pole energy differences that are important for AHT by eddies. These two controls do not always operate independently and can reinforce or dampen each other. In addition, we examine how individual AHT components, which vary with latitude, sum to a total AHT that varies smoothly with latitude. At slow rotation rates the mean meridional circulation is most important in ensuring total AHT varies smoothly with latitude, while eddies are most important at rotation rates similar to, and faster than, those of Earth.

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Dissertations / Theses on the topic "RADIATIVE TRANSPORT THEORY"

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Yi, Hak-Chae J. "Solution of time-independent inverse problems for linear transport theory /." Thesis, Connect to this title online; UW restricted, 1990. http://hdl.handle.net/1773/10677.

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Zhang, Hongbin 1965. "A model radiative transfer problem." Thesis, The University of Arizona, 1989. http://hdl.handle.net/10150/277071.

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The analytical solution to a model time-dependent continuous lethargy photon transport equation is evaluated numerically to obtain a benchmark solution using the Laplace transforms coupled with the multiple collision expansion method. The benchmark solution is then used to check the accuracy of the multigroup approximation. Excellent agreement between continuous lethargy benchmarks and multigroup approximation is obtained.

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De, Florio Mario. "Accurate Solutions of the Radiative Transfer Problem via Theory of Connections." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019.

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In questa tesi viene presentato un nuovo approccio per risolvere una classe di Radiative Transfer Problems, utilizzando la Theory of Connections. Il metodo prevede di risolvere in modo efficiente e accurato un problema lineare con una condizione al contorno (Linear One-Point Boundary Value Problem) derivante dall'equazione integro-differenziale di Boltzmann per il Radiative Transfer tramite un'espansione di polinomi di Chebyshev e metodo Least-Squares. L'algoritmo proposto risiede nella categoria dei metodi numerici per la soluzione delle equazioni del trasporto, ed è dimostrato essere accurato ed adatto per applicazioni nell'Atmospheric Science e Remote Sensing.

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Douglass, Steven James. "Consistent energy treatment for radiation transport methods." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/47612.

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A condensed multigroup formulation is developed which maintains direct consistency with the continuous energy or fine-group structure, exhibiting the accuracy of the detailed energy spectrum within the coarse-group calculation. Two methods are then developed which seek to invert the condensation process turning the standard one-way condensation (from fine-group to coarse-group) into the first step of a two-way iterative process. The first method is based on the previously published Generalized Energy Condensation, which established a framework for obtaining the fine-group flux by preserving the flux energy spectrum in orthogonal energy expansion functions, but did not maintain a consistent coarse-group formulation. It is demonstrated that with a consistent extension of the GEC, a cross section recondensation scheme can be used to correct for the spectral core environment error. A more practical and efficient new method is also developed, termed the "Subgroup Decomposition (SGD) Method," which eliminates the need for expansion functions altogether, and allows the fine-group flux to be decomposed from a consistent coarse-group flux with minimal additional computation or memory requirements. In addition, a new whole-core BWR benchmark problem is generated based on operating reactor parameters in 2D and 3D, and a set of 1D benchmark problems is developed for a BWR, PWR, and VHTR core.

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Hudiono, Yeny C. "Thermal transport properties of nanoporous zeolite thin films." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24748.

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Thesis (Ph.D.)--Chemical Engineering, Georgia Institute of Technology, 2009.
Committee Chair: Prof. Sankar Nair; Committee Co-Chair: Prof. Samuel Graham; Committee Member: Prof. Amyn S. Teja; Committee Member: Prof. Mo Li; Committee Member: Prof. Peter Ludovice.

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Marquez, Damian Jose Ignacio. "Multilevel acceleration of neutron transport calculations." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19731.

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Thesis (M.S.)--Nuclear and Radiological Engineering, Georgia Institute of Technology, 2008.
Committee Chair: Stacey, Weston M.; Committee Co-Chair: de Oliveira, Cassiano R.E.; Committee Member: Hertel, Nolan; Committee Member: van Rooijen, Wilfred F.G.

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Zachreson, Matthew R. "Comparing Theory and Experiment for Analyte Transport in the First Vacuum Stage of the Inductively Coupled Plasma Mass Spectrometer." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5610.

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The inductively coupled plasma mass spectrometer (ICP-MS) has been used in laboratories for many years. The majority of the improvements to the instrument have been done empirically through trial and error. A few fluid models have been made, which have given a general description of the flow through the mass spectrometer interface. However, due to long mean free path effects and other factors, it is very difficult to simulate the flow details well enough to predict how changing the interface design will change the formation of the ion beam. Towards this end, Spencer et al. developed FENIX, a direct simulation Monte Carlo algorithm capable of modeling this transitional flow through the mass spectrometer interface, the transitional flow from disorganized plasma to focused ion beam. Their previous work describes how FENIX simulates the neutral ion flow. While understanding the argon flow is essential to understanding the ICP-MS, the true goal is to improve its analyte detection capabilities. In this work, we develop a model for adding analyte to FENIX and compare it to previously collected experimental data. We also calculate how much ambipolar fields, plasma sheaths, and electron-ion recombination affect the ion beam formation. We find that behind the sampling interface there is no evidence of turbulent mixing. The behavior of the analyte seems to be described simply by convection and diffusion. Also, ambipolar field effects are small and do not significantly affect ion beam formation between the sampler and skimmer cones. We also find that the plasma sheath that forms around the sampling cone does not significantly affect the analyte flow downstream from the skimmer. However, it does thermally insulate the electrons from the sampling cone, which reduces ion-electron recombination. We also develop a model for electron-ion recombination. By comparing it to experimental data, we find that significant amounts of electron-ion recombination occurs just downstream from the sampling interface.

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Acevedo, Nancy Isabel Alvarez. "Uma formulação explícita matricial para problemas inversos de transferência radiativa em meios participantes homogêneos unidimensionais." Universidade do Estado do Rio de Janeiro, 2006. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=372.

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Fundação Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro
A formulação explícita matricial desenvolvida nesta tese de doutorado foi proposta visando ser uma alternativa na solução de Problemas Inversos de estimativa de propriedades radiativas em meios participantes homogêneos unidimensionais usando a Equação de Transferência Radiativa para modelar a interação da radiação com o meio participante. A equação de transporte é formulada em forma matricial e o domínio angular é discretizado usando conceitos do método de ordenadas discretas e a expansão da função de fase do espalhamento anisotrópico em uma série de polinômios de Legendre. A formulação proposta consiste em uma formulação explícita para o problema inverso. Um arranjo apropriado das condições de contorno prescritas (fluxos incidentes) e dos fluxos emergentes nos contornos de uma placa permitem o cálculo direto do operador de transmissão, do operador albedo e do operador de colisão. A partir do operador de colisão calculado são obtidos os valores estimados dos coeficientes de extinção total e de espalhamento. São apresentadas as formulações para problemas em regime estacionário e em regime transiente, bem como os resultados para alguns casos-teste.
The explicit matrix formulation developed in the present thesis has been proposed as an alternative for the solution of Inverse Problems for radiative properties estimation in one-dimensional homogeneous participating media using Radiative transfer equation for the modeling of the radiation interaction with the participating medium. This transport equation is formulated in a matrix form and the angular domain is discretized using concepts of the discrete ordinates methods and the expansion of the function of phase function of anisotropic scattering in a series of Legendre polynomial. The formulation proposed consists on an explicit formulation for the inverse problem. An adequate assembly of the prescribed boundary conditions (incidents flux) and of the emerging flux at the boundaries of the slab allows the direct computation of the transmission, albedo and collision operators. From the computed collision operator estimated values for total extinction and scattering coefficients are obtained. The formulations for steady state and transient situations are presented, as well as test case results.

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Tamasan, Alexandru Cristian. "A two dimensional inverse boundary value problem in radiation transport /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/5752.

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Yoshioka, Hiroki 1967. "Applications of transport theory in optical remote sensing of land surfaces." Diss., The University of Arizona, 1999. http://hdl.handle.net/10150/284824.

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A particle/radiative transport theory widely used in nuclear engineering was applied to investigate photon transport in layers of land surfaces which consist of vegetation and soil for application to optical remote sensing. A numerical simulation code has been developed for three dimensional vegetation canopies to compute reflected radiation by the canopy-soil systems. The code solves a discretized form of the linear Boltzmann transport equation using an Adaptive Weighted Diamond-Differencing and source iteration method. Sample problems demonstrate variations of reflectance spectra of vegetation canopies as a function of soil brightness and leaf area index, and also indicate a pattern of spectral variations induced by the soil brightness changes. Special attention has been paid to the variation patterns of canopy reflectances, known as vegetation isolines. Mathematical expressions of vegetation isolines, called vegetation isoline equations, are derived in terms of canopy optical properties and two parameters that characterize soil optical properties called soil line parameters. Behavior of vegetation isolines is analyzed using the derived equations as a function of leaf area index and fractional area covered by green-vegetation. The analyses show certain trends of the behavior of vegetation isolines. The vegetation isoline equations are then applied to investigate the performance of two-band vegetation indices and to estimate the effects of the soil line parameters. It is concluded that the vegetation isoline equations are useful for investigating patterns of canopy reflectance variations and the effects of these patterns on vegetation indices.

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Books on the topic "RADIATIVE TRANSPORT THEORY"

1

Anikonov, D. S. Transport equation and tomography. Utrecht: VSP, 2002.

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Frank, Graziani, ed. Computational methods in transport: Verification and validation. Berlin: Springer, 2008.

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Ginzburg, V. L. Transition radiation and transition scattering. Bristol, Eng: A. Hilger, 1990.

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Band model theory of radiation transport. El Segundo, California: Aerospace Press ; American Institute of Aeronautics and Astronautics, 2013.

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Center, Lewis Research, ed. Design considerations for lightweight space radiators based on fabrication and test experience with a carbon-carbon composite prototype heat pipe. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Heinbockel, J. H. An improved neutron transport algorithm for space radiation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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1940-, Wilson John W., ed. Transport methods and interactions for space radiations. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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1940-, Wilson John W., and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. An efficient HZETRN: (a galactic cosmic ray transport code). [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1992.

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Ackroyd, Ron T. Finite element methods for particle transport: Applications to reactor and radiation physics. Taunton, Somerset, England: Research Studies Press, 1997.

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Center, Langley Research, ed. Development of deterministic transport methods for low energy neutrons for shielding in space. Tucson, Ariz: Engineering Experiment Station, College of Engineering and Mines, University of Arizona, 1993.

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Book chapters on the topic "RADIATIVE TRANSPORT THEORY"

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Eu, Byung Chan. "Radiative Transport Coefficients and Their Mutual Relations." In Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics, 175–90. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41153-8_3.

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Ganapol, B. D. "Radiative Transfer in a Dense Plant Canopy without Azimuthal Symmetry." In Modern Mathematical Methods in Transport Theory, 144–54. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5675-1_13.

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McCormick, N. J. "Inverse Radiative Transfer Algorithms for Estimating a Particle Size Distribution." In Modern Mathematical Methods in Transport Theory, 208–14. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5675-1_18.

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Vassiliev, Oleg N. "Microdosimetry. Elements of Stochastic Transport Theory." In Monte Carlo Methods for Radiation Transport, 195–223. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44141-2_6.

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Ahues, Mario, and Bernard Rutily. "Reciprocity of Hopf’s and Feautrier’s Operators in Radiation Transport Theory." In Integral Methods in Science and Engineering, 21–26. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0111-3_3.

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Borisov, N. M., and M. P. Panin. "Importance Biasing Quality Criterion Based on Contribution Response Theory." In Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications, 193–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-18211-2_32.

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Arce, P., M. Maire, L. Urbán, and M. Wadhwa. "Multiple Scattering in GEANT4. A Comparison with Molière Theory and L3 Detector Data." In Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications, 503–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-18211-2_80.

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Dajuma, Alima, Siélé Silué, Kehinde O. Ogunjobi, Heike Vogel, Evelyne Touré N’Datchoh, Véronique Yoboué, Arona Diedhiou, and Bernhard Vogel. "Biomass Burning Effects on the Climate over Southern West Africa During the Summer Monsoon." In African Handbook of Climate Change Adaptation, 1515–32. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-45106-6_86.

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AbstractBiomass Burning (BB) aerosol has attracted considerable attention due to its detrimental effects on climate through its radiative properties. In Africa, fire patterns are anticorrelated with the southward-northward movement of the intertropical convergence zone (ITCZ). Each year between June and September, BB occurs in the southern hemisphere of Africa, and aerosols are carried westward by the African Easterly Jet (AEJ) and advected at an altitude of between 2 and 4 km. Observations made during a field campaign of Dynamics-Aerosol-Chemistry-Cloud Interactions in West Africa (DACCIWA) (Knippertz et al., Bull Am Meteorol Soc 96:1451–1460, 2015) during the West African Monsoon (WAM) of June–July 2016 have revealed large quantities of BB aerosols in the Planetary Boundary Layer (PBL) over southern West Africa (SWA).This chapter examines the effects of the long-range transport of BB aerosols on the climate over SWA by means of a modeling study, and proposes several adaptation and mitigation strategies for policy makers regarding this phenomenon. A high-resolution regional climate model, known as the Consortium for Small-scale Modelling – Aerosols and Reactive Traces (COSMO-ART) gases, was used to conduct two set of experiments, with and without BB emissions, to quantify their impacts on the SWA atmosphere. Results revealed a reduction in surface shortwave (SW) radiation of up to about 6.5 W m−2 and an 11% increase of Cloud Droplets Number Concentration (CDNC) over the SWA domain. Also, an increase of 12.45% in Particulate Matter (PM25) surface concentration was observed in Abidjan (9.75 μg m−3), Accra (10.7 μg m−3), Cotonou (10.7 μg m−3), and Lagos (8 μg m−3), while the carbon monoxide (CO) mixing ratio increased by 90 ppb in Abidjan and Accra due to BB. Moreover, BB aerosols were found to contribute to a 70% increase of organic carbon (OC) below 1 km in the PBL, followed by black carbon (BC) with 24.5%. This work highlights the contribution of the long-range transport of BB pollutants to pollution levels in SWA and their effects on the climate. It focuses on a case study of 3 days (5–7 July 2016). However, more research on a longer time period is necessary to inform decision making properly.This study emphasizes the need to implement a long-term air quality monitoring system in SWA as a method of climate change mitigation and adaptation.

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Koskinen, Hannu E. J., and Emilia K. J. Kilpua. "Drivers and Properties of Waves in the Inner Magnetosphere." In Astronomy and Astrophysics Library, 121–58. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82167-8_5.

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AbstractHow different wave modes are driven, is a central issue in space plasma physics. A practical problem is that often only indirect evidence of the driver can be identified in observations. The plasma environment is complex and variable and already a small difference in background or initial conditions may lead to widely different observable outcomes. In this chapter we discuss drivers of waves causing acceleration, transport and loss of radiation belt particles, whereas Chap. 10.1007/978-3-030-82167-8_6 discusses these effects in detail. We note that while this division is motivated in a textbook, it is somewhat artificial and the growth of the waves and their consequences often need to be studied together. For example, a whistler-mode wave can grow from thermal fluctuations due to gyro-resonant interactions until a marginally stable state is reached or nonlinear growth takes over. The growing wave starts to interact with different particle populations leading to damping or further growth of the wave. The fluxes of the higher-energy radiation belt particles are, however, small compared to the lower-energy background population, which supports the wave. Thus their effects on the overall wave activity usually remain small, although the waves can have drastic effect on higher-energy populations. Consequently, these two chapters should be studied together.

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Nigg, D. W., F. J. Wheeler, and P. D. Randolph. "Characterization of the Bmrr and PBF Epithermal-Neutron Beams in Phantom Using Three-Dimensional Deterministic Radiation Transport Theory." In Progress in Neutron Capture Therapy for Cancer, 145–49. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3384-9_29.

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Conference papers on the topic "RADIATIVE TRANSPORT THEORY"

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Reich, Oliver, Lena Bressel, and Roland Hass. "From radiative transport theory to quantification of light scattering properties." In 2016 Photonics North (PN). IEEE, 2016. http://dx.doi.org/10.1109/pn.2016.7537976.

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Davis, Anthony B., Alexander Marshak, Warren J. Wiscombe, and Robert F. Cahalan. "INSIGHT INTO THREE-DIMENSIONAL RADIATION TRANSPORT PROCESSES FROM DIFFUSION THEORY, WITH APPLICATIONS TO THE ATMOSPHERE." In Radiative Transfer II. Proceedings of the Second International Symposium on Radiation Transfer. Connecticut: Begellhouse, 1997. http://dx.doi.org/10.1615/ichmt.1997.intsymliqtwophaseflowtranspphenchtradtransfproc.100.

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Torrico, Saul A., Roger H. Lang, and Cuneyt Utku. "2-D radiative transport theory: Propagation loss predictions in a trunk dominated forest." In 2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS). IEEE, 2014. http://dx.doi.org/10.1109/ursigass.2014.6929654.

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Narayanaswamy, Arvind, and Gang Chen. "Near Field Surface Wave Enhanced Photon Transport." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47055.

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Radiative energy transfer as described by the classical radiation transfer theory of Planck is valid only when the distance between the participating surfaces is larger than a few wavelengths of the characteristic radiation. When the spacing is comparable to the wavelength, electromagnetic theory and the fluctuation-dissipation theorem can be used to predict the energy transfer between the surfaces. We have used the electromagnetic Green’s function method to model the thermal energy transfer between two half planes with planar layers in between. With polar materials as the half planes, we see a narrowband energy transfer in the near field due to energy transfer by surface phonon polaritons. We have used this technique to show that such a resonance, however dampened, persists even with the presence of a layer of photovoltaic material. This results in not only an increased energy transfer to the photovoltaic material as compared to black body radiation but also imparts a narrowband characteristic to it. The implications for thermophotovoltaics are discussed.

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Bright, T. J., and Z. M. Zhang. "Entropy Generation in Thin Films Evaluated From Phonon Radiative Transport." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12388.

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One of the approaches for micro/nanoscale heat transfer is to use the Boltzmann transport equation, which reduces to the equation of phonon radiative transfer under the relaxation time approximation. Transfer and generation of entropy are processes inherently associated with thermal energy transport, yet little has been done to analyze entropy generation in solids at length scales comparable with or smaller than the mean free path of heat carriers. This work extends the concept of radiation entropy in a participating medium to phonon radiation, thus providing a general theory of entropy generation that is applicable to both large and small length scales. The conventional formula for entropy generation in heat diffusion can be derived under the local equilibrium assumption. Furthermore, the phonon brightness temperature is introduced to describe the nature of nonequilibrium heat conduction. A fundamental understanding of the entropy generation processes will broaden the knowledge of heat transport in solids, which is particularly important for thermal analysis in nanoelectronics.

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Coelho, Pedro J. "Turbulence Radiation Interaction: From Theory to Application in Numerical Simulations." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-23339.

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Theoretical analysis and experimental investigations have shown that the mean heat fluxes in turbulent gaseous flows are influenced not only by the mean scalar fields (temperature and molar fraction of the species), but also by the scalar fluctuations. It is widely recognized that the increase of radiative fluxes in comparison with laminar flows may exceed 100%. This interaction between turbulence and radiation is mainly due to the non-linearity between radiative emission and temperature. It is particularly important in reactive flows, since temperature fluctuations are typically higher in these flows than in non-reactive ones. In this article, a survey of the theory concerning turbulence-radiation interaction (TRI) is presented, along with applications in numerical simulations. We firstly present experimental and theoretical fundamentals on TRI. Then, direct numerical simulation and stochastic methods are addressed. Although they provide reliable information on TRI, they are too computationally demanding for practical applications. We will then focus on methods based on the solution of the time-averaged form of the conservation equations. Although many different approaches are available, we will concentrate on two methods. One is based on the solution of the time-averaged form of the radiative transfer equation using the optically thin fluctuation approximation, and a combustion model based on a prescribed probability density function (pdf) approach. The second one is based on the photon Monte Carlo method for radiative transfer calculations in media represented by discrete particle fields, and a combustion model based on the Monte Carlo solution of the transport equation for the joint pdf of scalars. Finally, the role of TRI in large eddy simulation is discussed, and the main consequences of TRI in combustion systems are summarized.

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Venugopalan, V., J. S. You, and B. J. Tromberg. "An Improved Diffusion Model for Radiative Transport in Turbid Media." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0816.

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Abstract The diffusion approximation to the Boltzmann transport equation is commonly used to analyze data obtained from biomedical optical diagnostic techniques. Unfortunately, this approximation has significant limitations which constrains its applicability to highly scattering systems and over length scales much larger than the transport mean free path l*. Using an approach formulated independently by Prahl and Star [11, 13, 14], we present a form of the diffusion approximation which adds a delta function term to both the radiance and phase function expressions. This formulation is presented and solved for steady illumination in infinite media with a collimated source of finite size exhibiting spherical symmetry. The solution is compared to results given by standard diffusion theory and to measurements made in a strongly scattering and strongly absorbing turbid phantom with reduced single scattering albedos a’ of 0.997 and 0.248, respectively. The results show that this approach provides accurate predictions of optical dosimetry in both low and high scattering media and at positions proximal to collimated light sources.

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Prasher, Ravi S. "Phonon Transport in Anisotropic Scattering Particulate Media." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41033.

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Equation of phonon radiative transport (EPRT) is rewritten to include anisotropic scattering by a particulate media by including an acoustic phase function and an in-scattering term which makes EPRT exactly same as equation of radiative transport (ERT). This formulation of EPRT is called generalized EPRT (GEPRT). It is shown that GEPRT reduces to EPRT for isotropic scattering and is totally consistent with phonon transport theory, showing that transport cross section is different from the scattering cross section. GEPRT leads to same formulation for transport cross section as given by phonon transport theory. However GEPRT shows that transport cross section formulations as described by phonon transport theory are only valid for acoustically thick medium. Transport cross section is different for the acoustically thin medium leading to the conclusion that mean free path (m.f.p) is size dependant. Finally calculations are performed for two types of scatterers for acoustic waves without mode conversion: 1) Acoustically hard Rayleigh sphere 2) large sphere in the geometrical scattering regime. Results show that the scattering from these particles is highly anisotropic. It is also shown that for geometrical scattering case isotropic scattering leads to the conclusion of total internal reflection at the particle/medium interface.

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Mazumder, Sandip, and Alfred Kersch. "Effect of Thin Films on Radiative Transport in Chemical Vapor Deposition Systems." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-1057.

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Abstract The thermal behavior of a wafer during a Rapid Thermal Chemical Vapor Deposition (RTCVD) process depends on its spectral radiative properties, along with other factors. One of the major contributing factors is the thin film that is deposited on the wafer substrate. The presence of a thin film (of thickness anywhere above 0.1 nm) can drastically alter the radiative properties of the wafer surface, thereby leading to significantly different wafer temperatures. This article presents a model to simulate thin film effects in RTCVD processes. Radiative transfer is modeled using a Monte-Carlo ray-tracing technique. Radiative properties are calculated using fundamental Electromagnetic Wave Theory. Simulation results match remarkably well with experimental data, demonstrating the importance of thin film effects.

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Torrico, Saul A., and Roger H. Lang. "2-D radiative transport theory - forward scattering approximation: Mobile-to-mobile communication in a trunk dominated forest." In 2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC). IEEE, 2015. http://dx.doi.org/10.1109/ursi-at-rasc.2015.7303081.

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Reports on the topic "RADIATIVE TRANSPORT THEORY"

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Fuchs, Marcel, Jerry Hatfield, Amos Hadas, and Rami Keren. Reducing Evaporation from Cultivated Soils by Mulching with Crop Residues and Stabilized Soil Aggregates. United States Department of Agriculture, 1993. http://dx.doi.org/10.32747/1993.7568086.bard.

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Field and laboratory studies of insulating properties of mulches show that the changes they produce on the heat balance and the evaporation depend not only on the intrinsic characteristics of the material but also on the structure of air flow in boundary layer. Field measurements of the radiation balance of corn residue showed a decrease of reflectivity from 0.2 to 0.17 from fall to spring. The aerodynamic properties of the atmospheric surface layer were turbulent, with typical roughness length of 12 to 24 mm. Evaporation from corn residue covered soils in climate chambers simulating the diurnal course of temperature in the field were up to 60% less than bare soil. Wind tunnel studies showed that turbulence in the atmospheric boundary layer added a convective component to the transport of water vapor and heat through the mulches. The decreasing the porosity of the mulch diminished this effect. Factors increasing the resistance to vapor flow lowering the effect of wind. The behavior of wheat straw and stabilized soil aggregates mulches were similar, but the resistance to water of soil aggregate layer with diameter less than 2 mm were very large, close to the values expected from molecular diffusion.

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